Minute of Arc to Degree Conversion Chart
| Minute of arc (arcmin) | Degree (deg) | Reference Benchmark | Formula Step |
|---|---|---|---|
| 1 arcmin | 0.0167 deg | One Arcminute Navigational Latitude Nautical Mile Equivalence | 1 × 0.016667 = 0.0167 deg |
| 3 arcmin | 0.05 deg | Three Arcminutes Typical Human Eye Visual Acuity Limit | 3 × 0.016667 = 0.05 deg |
| 6 arcmin | 0.1 deg | Six Arcminutes Small Celestial Target Angular Diameter | 6 × 0.016667 = 0.1 deg |
| 15 arcmin | 0.25 deg | Quarter Degree Marine Radar Beamwidth Aperture Threshold | 15 × 0.016667 = 0.25 deg |
| 30 arcmin | 0.5 deg | Apparent Angular Diameter of Full Moon Viewed from Earth | 30 × 0.016667 = 0.5 deg |
| 60 arcmin | 1 deg | Exact International Definition of Sixty Arcminutes in Degree | 60 × 0.016667 = 1 deg |
| 120 arcmin | 2 deg | Two Degrees Geodetic Survey Triangulation Displacement | 120 × 0.016667 = 2 deg |
| 300 arcmin | 5 deg | Five Degrees Binocular Standard Field of View Diameter | 300 × 0.016667 = 5 deg |
| 600 arcmin | 10 deg | Ten Degrees Clenched Fist Angular Span at Arm Length | 600 × 0.016667 = 10 deg |
| 900 arcmin | 15 deg | One Hour Earth Axial Rotational Angle in Arcminutes | 900 × 0.016667 = 15 deg |
| 1800 arcmin | 30 deg | Thirty Degrees Zodiac Constellation Sign Span Sector | 1800 × 0.016667 = 30 deg |
| 2700 arcmin | 45 deg | Forty-Five Degrees Octant Celestial Sector Coverage | 2700 × 0.016667 = 45 deg |
| 3600 arcmin | 60 deg | Sixty Degrees Sextant Navigation Measurement Ceiling | 3600 × 0.016667 = 60 deg |
| 5400 arcmin | 90 deg | Ninety Degrees Quadrant Right Angle Zenith Elevation | 5400 × 0.016667 = 90 deg |
| 10800 arcmin | 180 deg | One Hundred Eighty Degrees Horizon to Horizon Diameter | 10800 × 0.016667 = 180 deg |
Minute of arc to Degree Formula & Unit Definitions
The conversion from minutes of arc to degrees is governed by the exact rational factor of 1/60 (1 arcmin = 1/60° ≈ 0.0166667°). To convert arcminutes to decimal degrees, divide the arcminute value by 60 (or multiply by ~0.016667). Conversely, to convert degrees into arcminutes, multiply by 60.
Quick Estimation: Divide the arcminute value by 6, then shift the decimal point one place to the left (divide by 60). For example: 30 arcmin / 60 = 0.5°; 45 arcmin / 60 = 0.75°; 15 arcmin / 60 = 0.25°; 60 arcmin / 60 = 1.0°.
Minute of Arc (arcmin / ′)
Sexagesimal Sub-Division (1/60°)- Creator & Origin: Rooted in Babylonian base-60 mathematics and Ptolemy's astronomical coordinate grid.
- Standard Definition: Defined as exactly 1/60 of a degree (1 arcmin = 1/60° ≈ 0.0166667°).
- Everyday Focus: Telescope pointing, rifle scope MOA adjustments, human visual acuity, and nautical charts.
Degree Angle (°)
Sexagesimal Base Unit- Creator & Origin: Ancient Babylonian sexagesimal calendar division of the solar path into 360 units.
- Standard Definition: Defined as exactly 1/360 of a full geometric circle (90° = 1 right angle).
- Everyday Focus: Digital mapping (GIS decimal degrees), CAD blueprints, aviation vector headings, and robotics.
Frequently Asked Questions
Q.How many degrees are in one minute of arc?
One minute of arc equals exactly 1/60 of a degree (approximately 0.0166667°).
Q.What is the reverse conversion from degrees to arcminutes?
To convert in reverse, use the Degree to Minute of Arc Converter where 1° equals 60 arcminutes.
Q.How many degrees is 30 arcminutes?
30 arcminutes equals exactly 0.5 degrees (half a degree).
Q.How many degrees is 60 arcminutes?
60 arcminutes equals exactly 1 degree.
Q.How do you convert arcminutes to decimal degrees?
Divide the number of arcminutes by 60 (e.g. 45 arcmin / 60 = 0.75°).